MFM1P1
Name: _______________
Unit 5 Relations Assignment – Your Pattern
After spending the unit learning about patterns and how they relate to linear relations, it’s time for you
to show you know what to do!
Pattern
What is the pattern you will be choosing? You can pick anything that can be modelled by a growing pattern in real
life. If you are able to draw your pattern, you can (but you don’t have to!). Use the space provided to you here.
Explain your choice as well.
Position Number 1
Position Number 2
Position Number 3
This pattern is a diagram of what represents the wooden fence that will used to keep some horses protected.
Table of Values
Now that you have your pattern, complete the table of values. Note: You may need to find the first differences!
Number of items in Pattern (y)
5
9
13
17
21
25
Equation
Now that you have a table of values and a pattern, you should be able to
make an equation. Remember that the equation looks like 𝑦 = 𝑚𝑥 + 𝑐,
and is made up of the rate of change and a constant. The rate of change
goes in for the letter m (since it’s the multiplier) and the constant goes in
for the c.
Rate of change = 4
from the first differences (table of values)
Constant = 1
from 5 – 4 = 1
First Differences
9–5=4
13 – 9 = 4
17 – 13 = 4
21 – 17 = 4
25 – 21 = 4
Number of Fence Boards
Position Number (x)
1
2
3
4
5
6
Equation
𝑦 = 4𝑥 + 1
Graph
Finally, you can graph everything! Use the information you’ve gathered from the
previous parts, and make a graph. Include all labels and draw your line of best fit.
Note: If you prefer, you can use Excel to draw your graph. Save your graph, and
let the teacher know that you wish to use (or already used) Excel. Your graph will
be printed.
Unit 5 Assignment
Position Number